Inequalities of the Kolmogorov type for norms of Riesz derivatives of multivariate functions and some of their applications

DOI10.1007/s10958-012-1045-3zbMath1271.41004OpenAlexW2004864778MaRDI QIDQ1948537

Vladislav F. Babenko, Nataliia Viktorivna Parfinovych

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1045-3

zbMATH Keywords

Laplace operatorfractional derivativeapproximation of unbounded operatorsLandau-Kolmogorov-type inequalitiesrecovery of operators by information with error

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Miscellaneous topics in real functions (26E99)

Related Items (1)

On approximation of hypersingular integral operators by bounded ones

Cites Work

• On the Kolmogorov inequality for fractional derivatives on the half-line
• Exact inequalities between the norms of second and third order derivatives
• Best approximation of unbounded operators by bounded ones
• Sharp estimates of the norms of fractional derivatives of functions of several variables satisfying Hölder conditions
• Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic
• Best approximation of linear operators
• Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions
• Approximation of unbounded operators by bounded operators and related extremal problems
• Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle
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